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Finding the Third Proportional to 150,614 and 324,552

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Solution

The third proportional to 150,614 and 324,552 is: 699,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614 : 324,552 = 324,552 : x
  2. Step 2: Convert to fraction form
    150,614/324,552 = 324,552/x
  3. Step 3: Cross multiply
    150,614x = 324,552 × 324,552
  4. Step 4: Simplify right side
    150,614x = 105,334,000,704
  5. Step 5: Solve for x
    x = 105,334,000,704/150,614
  6. Step 6: Final answer
    x = 699,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.